Critical behaviour of hydrodynamic series

Asadi, Mohsen; Soltanpanahi, Hesam; Taghinavaz, F.

doi:10.1007/jhep05(2021)287

Cited by 12 publications

(3 citation statements)

References 72 publications

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Section: Discussionmentioning

confidence: 99%

Hydrodynamic dispersion relations at finite coupling

Grozdanov,

Starinets,

Tadić

2021

Preprint

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By using holographic methods, the radii of convergence of the hydrodynamic shear and sound dispersion relations were previously computed in the N = 4 supersymmetric Yang-Mills theory at infinite 't Hooft coupling and infinite number of colours. Here, we extend this analysis to the domain of large but finite 't Hooft coupling. To leading order in the perturbative expansion, we find that the radii grow with increasing inverse coupling, contrary to naive expectations. However, when the equations of motion are solved using a qualitative non-perturbative resummation, the dependence on the coupling becomes piecewise continuous and the initial growth is followed by a decrease. The piecewise nature of the dependence is related to the dynamics of branch point singularities of the energy-momentum tensor finitetemperature two-point functions in the complex plane of spatial momentum squared. We repeat the study using the Einstein-Gauss-Bonnet gravity as a model where the equations can be solved fully non-perturbatively, and find the expected decrease of the radii of convergence with the effective inverse coupling which is also piecewise continuous. Finally, we provide arguments in favour of the non-perturbative approach and show that the presence of nonperturbative modes in the quasinormal spectrum can be indirectly inferred from the analysis of perturbative critical points.

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Section: Discussionmentioning

confidence: 99%

Hydrodynamic dispersion relations at finite coupling

Grozdanov,

Starinets,

Tadić

2021

Preprint

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“…The holographic renormalization and the far from equilibrium homogeneous isotropization dynamics were presented in [78]. The evolution of holographic complexity [125], the holographic entanglement entropy and mutual information [126], the entanglement of purification [127], and the critical behavior of the hydrodynamic derivative series [128] were also analyzed for the 1RCBH model. The far from equilibrium Bjorken flow dynamics and the analysis of the hydrodynamization times of the medium, including the vicinity of the critical point, were presented in [80].…”

Section: Holographic Bjorken Flow For the 1rcbh Plasmamentioning

confidence: 99%

Holographic entropy production in a Bjorken expanding hot and dense strongly coupled quantum fluid

Rougemont¹,

Barreto²

2022

Preprint

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We analyze the time evolution of several physical observables, like the pressure anisotropy, the scalar condensate, the charge density, and also, for the first time, the non-equilibrium entropy for a Bjorken expanding strongly coupled N = 4 Supersymmetric Yang-Mills plasma charged under an Abelian U (1) subgroup of the global SU (4) R-symmetry. This represents a far-from-equilibrium, hot and dense strongly coupled quantum fluid with a critical point in its phase diagram. For some sets of initial data preserving all the energy conditions, dynamically driven transient violations of the dominant and the weak energy conditions are observed when the plasma is still far from the hydrodynamic regime. The energy conditions violations get stronger at larger values of the chemical potential to temperature ratio, µ/T , indicating that those violations become more relevant as the strongly coupled quantum fluid approaches its critical regime. For some of those energy conditions violations, it is observed a clear correlation with different plateau structures formed in the far from equilibrium entropy, indicating the presence of transient, early time windows where the Bjorken expanding plasma has zero entropy production even while being far from equilibrium. The hydrodynamization of the pressure anisotropy, and also the much later thermalization of the scalar condensate, seen for the first time in this work, are generally found to be delayed, within small relative tolerances, as µ/T is increased towards criticality. The value of µ/T in the medium is enhanced by increasing its initial charge density, and/or also by reducing its initial energy density.

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“…It would be interesting to investigate whether a similar phenomenon is observed at small but finite coupling. Of special interest are the studies of the hydrodynamic series convergence in strongly coupled theories with non-zero chemical potential [6,7], [53], where the coupling dependence has not yet been explored. in the complex q 2 -plane, and then determines the degree of the singularity at the critical points by considering the quasinormal mode behaviour in the complex w-plane under the monodromy q 2 = |q 2 |e iϕ , where ϕ ∈ [0, 2π].…”

Section: Jhep06(2021)180mentioning

confidence: 99%

Hydrodynamic dispersion relations at finite coupling

Grozdanov

Starinets²,

Tadić

2021

J. High Energ. Phys.

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By using holographic methods, the radii of convergence of the hydrodynamic shear and sound dispersion relations were previously computed in the $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory at infinite ’t Hooft coupling and infinite number of colours. Here, we extend this analysis to the domain of large but finite ’t Hooft coupling. To leading order in the perturbative expansion, we find that the radii grow with increasing inverse coupling, contrary to naive expectations. However, when the equations of motion are solved using a qualitative non-perturbative resummation, the dependence on the coupling becomes piecewise continuous and the initial growth is followed by a decrease. The piecewise nature of the dependence is related to the dynamics of branch point singularities of the energy-momentum tensor finite-temperature two-point functions in the complex plane of spatial momentum squared. We repeat the study using the Einstein-Gauss-Bonnet gravity as a model where the equations can be solved fully non-perturbatively, and find the expected decrease of the radii of convergence with the effective inverse coupling which is also piecewise continuous. Finally, we provide arguments in favour of the non-perturbative approach and show that the presence of non-perturbative modes in the quasinormal spectrum can be indirectly inferred from the analysis of perturbative critical points.

show abstract

Critical behaviour of hydrodynamic series

Cited by 12 publications

References 72 publications

Hydrodynamic dispersion relations at finite coupling

Hydrodynamic dispersion relations at finite coupling

Holographic entropy production in a Bjorken expanding hot and dense strongly coupled quantum fluid

Hydrodynamic dispersion relations at finite coupling

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